Invariance principle for the random conductance model in a degenerate ergodic environment

Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik

Research output: Contribution to journalArticlepeer-review

Abstract

We study a continuous time random walk, X, on Zd in an environment of random conductances taking values in (0,∞). We assume that the law of the conductances is ergodic with respect to space shifts. We prove a quenched invariance principle for X under some moment conditions of the environment. The key result on the sublinearity of the corrector is obtained by Moser’s iteration scheme.
Original languageEnglish
Pages (from-to)1866-1891
Number of pages26
JournalAnnals of Probability
Volume43
Issue number4
DOIs
Publication statusE-pub ahead of print - 3 Jun 2015

Keywords

  • Random conductance model
  • Invariance principle
  • Moser iteration

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